Question 117410


Let's evaluate {{{f(-1)}}}



{{{f(x)=-1x^3+1x^2-3x+4}}} Start with the given function.



{{{f(-1)=-1(-1)^3+1(-1)^2-3(-1)+4}}} Plug in {{{x=-1}}}. In other words, replace each x with -1.



{{{f(-1)=-1(-1)+1(-1)^2-3(-1)+4}}} Evaluate {{{(-1)^3}}} to get -1.



{{{f(-1)=-1(-1)+1(1)-3(-1)+4}}} Evaluate {{{(-1)^2}}} to get 1.



{{{f(-1)=+1+1(1)-3(-1)+4}}} Multiply -1 and -1 to get  1



{{{f(-1)=+1+1-3(-1)+4}}} Multiply 1 and 1 to get  1



{{{f(-1)=+1+1+3+4}}} Multiply -3 and -1 to get  3



{{{f(-1)=9}}} Now combine like terms



-----------Now let's evaluate another value---------



Let's evaluate {{{f(0)}}}



{{{f(x)=-1x^3+1x^2-3x+4}}} Start with the given function.



{{{f(0)=-1(0)^3+1(0)^2-3(0)+4}}} Plug in {{{x=0}}}. In other words, replace each x with 0.



{{{f(0)=-1(0)+1(0)^2-3(0)+4}}} Evaluate {{{(0)^3}}} to get 0.



{{{f(0)=-1(0)+1(0)-3(0)+4}}} Evaluate {{{(0)^2}}} to get 0.



{{{f(0)=+0+1(0)-3(0)+4}}} Multiply -1 and 0 to get  0



{{{f(0)=+0+0-3(0)+4}}} Multiply 1 and 0 to get  0



{{{f(0)=+0+0+0+4}}} Multiply -3 and 0 to get  0



{{{f(0)=4}}} Now combine like terms



-----------Now let's evaluate another value---------



Let's evaluate {{{f(1)}}}



{{{f(x)=-1x^3+1x^2-3x+4}}} Start with the given function.



{{{f(1)=-1(1)^3+1(1)^2-3(1)+4}}} Plug in {{{x=1}}}. In other words, replace each x with 1.



{{{f(1)=-1(1)+1(1)^2-3(1)+4}}} Evaluate {{{(1)^3}}} to get 1.



{{{f(1)=-1(1)+1(1)-3(1)+4}}} Evaluate {{{(1)^2}}} to get 1.



{{{f(1)=-1+1(1)-3(1)+4}}} Multiply -1 and 1 to get  -1



{{{f(1)=-1+1-3(1)+4}}} Multiply 1 and 1 to get  1



{{{f(1)=-1+1-3+4}}} Multiply -3 and 1 to get  -3



{{{f(1)=1}}} Now combine like terms